Sung-Hoon Mok/Yoon-Hyuk Choi/Hyo-Choong Bang
International Journal of Aeronautical and Space Sicences, vol. 11, no. 4, pp.351-359, 2010

Abstract : This paper proposes a linear system control algorithm with collision avoidance in multiple satellites. Consideration of collision avoidance is augmented by adding a weighting term in the cost function of the original tracking problem in linear quadratic control (LQC). Because the proposed algorithm relies on a similar solution procedure to the original LQC, its inherent advantages, including gain-robustness and optimality, are preserved. To confirm and visualize the derived algorithm, a simple example of two-vehicle motion in the two-dimensional plane is illustrated. In addition, the proposed collision avoidance control is applied to satellite formation flying, and verified by numerical simulations.

Keyword : Collision avoidance, Linear quadratic control, Tracking problem, Satellite formation flying